118.8 is what percent of 30.8 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30.8 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 30.8, so we can write it down as 100%=30.8.
4. We know, that x% equals 118.8 of the output value, so we can write it down as x%=118.8.
5. Now we have two simple equations:
1) 100%=30.8
2) x%=118.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=30.8/118.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.8 is what percent of 30.8

100%/x%=30.8/118.8
(100/x)*x=(30.8/118.8)*x       - we multiply both sides of the equation by x
100=0.25925925925926*x       - we divide both sides of the equation by (0.25925925925926) to get x
100/0.25925925925926=x
385.71428571429=x
x=385.71428571429

now we have:
118.8 is 385.71428571429% of 30.8